More generally, it was shown by Dubrovin [1]} that the tt* equations always have an isomonodromic formulation
with the same pole structure (poles of order 2 at \(\lambda =0\)  and \(\lambda =\infty \) ).
Monodromy data of
such connections can be hard to calculate, but,
for the tt*-Toda equations, calculations are facilitated by the close relation between
the Toda equations and Lie theory.
